Book Image

Learning Bayesian Models with R

By : Hari Manassery Koduvely
Book Image

Learning Bayesian Models with R

By: Hari Manassery Koduvely

Overview of this book

Table of Contents (16 chapters)
Learning Bayesian Models with R
About the Author
About the Reviewers

Model overfitting and bias-variance tradeoff

The expected loss mentioned in the previous section can be written as a sum of three terms in the case of linear regression using squared loss function, as follows:

Here, Bias is the difference between the true model F(X) and average value of taken over an ensemble of datasets. Bias is a measure of how much the average prediction over all datasets in the ensemble differs from the true regression function F(X). Variance is given by . It is a measure of extent to which the solution for a given dataset varies around the mean over all datasets. Hence, Variance is a measure of how much the function is sensitive to the particular choice of dataset D. The third term Noise, as mentioned earlier, is the expectation of difference between observation and the true regression function, over all the values of X and Y. Putting all these together, we can write the following:

The objective of machine learning is to learn the function from data that minimizes...